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Finding the Third Proportional to 467,984 and 1,010,689

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Solution

The third proportional to 467,984 and 1,010,689 is: 2,182,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,984 : 1,010,689 = 1,010,689 : x
  2. Step 2: Convert to fraction form
    467,984/1,010,689 = 1,010,689/x
  3. Step 3: Cross multiply
    467,984x = 1,010,689 × 1,010,689
  4. Step 4: Simplify right side
    467,984x = 1,021,492,254,721
  5. Step 5: Solve for x
    x = 1,021,492,254,721/467,984
  6. Step 6: Final answer
    x = 2,182,750.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.